3106899100800 has 864 divisors, whose sum is σ = 12643325931600. Its totient is φ = 720401510400.

The previous prime is 3106899100771. The next prime is 3106899100841. The reversal of 3106899100800 is 80019986013.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 167577931 + ... + 167596469.

Almost surely, 2^{3106899100800} is an apocalyptic number.

3106899100800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3106899100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6321662965800).

3106899100800 is an abundant number, since it is smaller than the sum of its proper divisors (9536426830800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3106899100800 is a wasteful number, since it uses less digits than its factorization.

3106899100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18626 (or 18583 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 3106899100800 in words is "three trillion, one hundred six billion, eight hundred ninety-nine million, one hundred thousand, eight hundred".